Q-linear functions, functions with dense graph, and everywhere surjectivity
- Francisco Javier García Pacheco
- Fernando Rambla-Barreno
- Juan Benigno Seoane Sepúlveda
ISSN: 0025-5521
Année de publication: 2008
Volumen: 102
Número: 1
Pages: 156-160
Type: Article
D'autres publications dans: Mathematica scandinavica
Résumé
Let L, S and D denote, respectively, the set of Q-linear functions, the set of everywhere surjective functions and the set of dense-graph functions on R. In this note, we show that the sets D∖(S∪L), S∖L, S∩L and D∩L∖S are lineable. Moreover, all these sets contain (omitting zero) a vector space of the biggest possible dimension, 2c.